Aharonov-Bohm Effect in Cyclotron and Synchrotron Radiations

TL;DR

This paper investigates how the Aharonov-Bohm effect influences cyclotron and synchrotron radiation, revealing new spectral lines and radiation features caused by the presence of a solenoid in a magnetic field.

Contribution

It provides exact solutions to quantum equations in a magnetic-solenoid field and analyzes the resulting radiation characteristics, highlighting novel spectral features due to the Aharonov-Bohm effect.

Findings

New spectral lines appear in radiation spectra.

Radiation intensity shows unique angular distribution features.

Aharonov-Bohm effect manifests in observable radiation modifications.

Abstract

We study the impact of Aharonov-Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. With this aim in view, exact solutions of Klein-Gordon and Dirac equations are found in the magnetic-solenoid field. Using such solutions, we calculate exactly all the characteristics of one-photon spontaneous radiation both for spinless and spinning particle. Considering non-relativistic and relativistic approximations, we analyze cyclotron and synchrotron radiations in detail. Radiation peculiarities caused by the presence of the solenoid may be considered as a manifestation of Aharonov-Bohm effect in the radiation. In particular, it is shown that new spectral lines appear in the radiation spectrum. Due to angular distribution peculiarities of the radiation intensity, these lines can in principle be isolated from basic cyclotron and synchrotron radiation spectra